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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
1/4-(5*x) = 3/x+9 // - 3/x+9
1/4-(5*x)-(3/x)-9 = 0
1/4-5*x-3*x^-1-9 = 0
-5*x^1-3*x^-1-35/4*x^0 = 0
(-5*x^2-35/4*x^1-3*x^0)/(x^1) = 0 // * x^2
x^1*(-5*x^2-35/4*x^1-3*x^0) = 0
x^1
(-35/4)*x-5*x^2-3 = 0
(-35/4)*x-5*x^2-3 = 0
DELTA = (-35/4)^2-(-5*(-3)*4)
DELTA = 265/16
DELTA > 0
x = ((265/16)^(1/2)-(-35/4))/(-5*2) or x = (-(-35/4)-(265/16)^(1/2))/(-5*2)
x = ((265/16)^(1/2)+35/4)/(-10) or x = (35/4-(265/16)^(1/2))/(-10)
x in { ((265/16)^(1/2)+35/4)/(-10), (35/4-(265/16)^(1/2))/(-10)}
x in { ((265/16)^(1/2)+35/4)/(-10), (35/4-(265/16)^(1/2))/(-10) }
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